Course on Function Spaces I

Continuous and Integrable Functions

AvDominic Breit,Franz Gmeineder

Häftad, Engelska, 2026

Del i serien Universitext

652 kr

Kommande

Beskrivning

In this first volume, spaces of continuous and integrable functions are covered in detail.Starting from the familiar notions of continuous and smooth functions, the volume gradually progresses to advanced aspects of Lebesgue spaces and their relatives.

Produktinformation

Utgivningsdatum:2026-11-11
Mått:155 x 235 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Universitext
Antal sidor:750
Förlag:Springer Nature Switzerland AG
ISBN:9783030806422

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Dominic Breit is Chair of Mathematical Modelling at the Institute of Mathematics of the Clausthal University of Technology. His research interests range from pure topics such as Sobolev spaces, regularity theory for nonlinear PDEs and the calculus of variations, to applications in fluid mechanics.Franz Gmeineder holds the tenure-track to full professorship 'Theory of PDEs' at the Department of Mathematics and Statistics at the University of Konstanz. His research interests include pure topics from real analysis, function spaces and regularity theory in the calculus of variations, and their interaction in applications.

Innehållsförteckning

1 Introduction.- 2 Preliminaries I – Calculus and measure theory.- 3 Preliminaries II – Functional analysis.- 4 Spaces of continuous functions.- 5 Lᵖ-spaces.- 6 Basics from real and harmonic analysis.